
Database Systems: Design, Implementation, & Management
12th Edition
ISBN: 9781305627482
Author: Carlos Coronel, Steven Morris
Publisher: Cengage Learning
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Transcribed Image Text:For each of the following relations, determine whether the relation is:
(i) Reflexive.
(ii) Anti-reflexive.
(iii) Symmetric.
(iv) Anti-symmetric.
(v) Transitive.
(vi) A partial order.
(vii) A strict order.
(viii) An equivalence relation.
Justify all your answers. You need to have eight answers for each question.
a The domain of R is a group of students. Ry if x has earned more credits than y. (NOTE: You can
assume there are at least two students who have not earned the same number of credits.)
b R is a relation on Z such that Ry if and only if x - y = 3m for some integer m.
c The domain R is the set of all cell phone towers in a network. Two towers can communicate if they
are within a distance of three miles from each other. Ry if x can communicate with y. (NOTE: You
can assume that there are at least two towers that are within three miles of each other.)
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